{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,4]],"date-time":"2026-05-04T20:39:46Z","timestamp":1777927186530,"version":"3.51.4"},"reference-count":21,"publisher":"SAGE Publications","issue":"5","license":[{"start":{"date-parts":[[2018,9,24]],"date-time":"2018-09-24T00:00:00Z","timestamp":1537747200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61703111"],"award-info":[{"award-number":["61703111"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering"],"published-print":{"date-parts":[[2019,5]]},"abstract":"<jats:p>\n                    In this article, a kind of time-varying H\n                    <jats:sub>\u221e<\/jats:sub>\n                    controller, which could be easily obtained by solving linear matrix inequalities, is proposed to attenuate the vibration of periodic piecewise vibration systems. The Lyapunov function with continuous time-varying Lyapunov matrix is adopted to develop a general condition of H\n                    <jats:sub>\u221e<\/jats:sub>\n                    performance index for periodic piecewise vibration systems. An H\n                    <jats:sub>\u221e<\/jats:sub>\n                    controller with continuous time-varying controller gain is designed to attenuate the system vibration. A numerical example is used to verify the merit of the proposed controller.\n                  <\/jats:p>","DOI":"10.1177\/0959651818800185","type":"journal-article","created":{"date-parts":[[2018,9,24]],"date-time":"2018-09-24T05:40:42Z","timestamp":1537767642000},"page":"472-479","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":4,"title":["Time-varying\n                    <i>H<\/i>\n                    <sub>\u221e<\/sub>\n                    controller design for periodic piecewise vibration systems"],"prefix":"10.1177","volume":"233","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1380-5820","authenticated-orcid":false,"given":"Bo","family":"Li","sequence":"first","affiliation":[{"name":"School of Automation, Guangdong University of Technology, Guangzhou, 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